Showing posts with label Samuel Arbesman. Show all posts
Showing posts with label Samuel Arbesman. Show all posts
Monday
Tracking Old Faithful
Old Faithful, the iconic American geyser, is also a statistician's delight. Its eruption can be predicted only based on the length of the previous eruption, and Old Faithful's eruption durations are bimodal. That means that there are two distinct eruption durations. The range can be from about 70 minutes to about 100 minutes, plus or minus 10 minutes on either side. The longer the previous eruption, the longer the interval, possibly because it takes longer for the underground chambers to refill after a longer eruption.
Park rangers at the Old Faithful visitor center time the duration of the eruptions, and Ranger Rita Garcia explained the process to me. There are numerous pre-eruptions, all timed, but the eruption itself doesn't begin until the height of the spray is sustained at 15-20 feet. The ranger notes the start time, height, and duration of the eruption. There are detailed records going back 40 years, and archival but less detailed records before that. Old Faithful's eruptions are "unusually regular." Though we don't know for sure (it's too hot!) the belief is that Old Faithful has its own water reservoir, one that is low in silica for a geyser. But no one knows for sure. (That's OK - we may yet figure it out. You can see my review of Samuel Arbesman's book "The Half-Life of Facts, which explains why technical and scientific progress occur at fixed rates, here.)
You might be wondering how the rangers measure the height of the eruption. The visitor center, which you can see in the background of the picture above, is below the grade of Old Faithful. And it's not as if there's a helpful measuring stick next to the geyser. But look at the picture below.
That neatly triangular tree in the center? The rangers compare the height of the eruption to it; a helpful student calculated the heights for them a couple of years ago.
You can see what's happening now using the National Park Service's Old Faithful webcam here. And there's a good explanation of why geysers erupt here. And here is a link to the Geyser Observation and Study Association if you want to learn more.
Tuesday
"The Half-Life of Facts," by Samuel Arbesman
In Samuel Arbesman's expression, set out in his new book "The Half-Life of Facts: Why Everything We Know Has an Expiration Date," we dwell in uncertainty. Things around us, things we think we know, are always changing. Sometimes it's because we learn more - many of Arbesman's examples come from our increasing knowledge of dinosaurs (they didn't have feathers or colors, and barely had brains, when I was a kid). Sometimes we get better at measuring - look at what happened to the size of Pluto (it is smaller than we were taught and is now no longer thought to be a planet). The rapid pace of change can feel confusing, if not overwhelming. How can we possibly keep up?
In his clear and well-written book Arbesman tells us how to approach the problem. He demonstrates how knowledge changes in regular ways, ways that are systematic enough for us to understand. He argues that understanding the changes helps us make sense of the world and allows us to prepare for the changes we can anticipate. (I think these are what have been called in another context the known unknowns.) From my blog's perspective, it's a well-written, useful book about the importance of thinking critically.
Arbesman uses the work of John Ioannidis to remind us that one study is never enough, and that we are prone to jumping to conclusions. Just because something has been published doesn't mean that it is true, or will hold up over time. In fact, chances are, it won't. (As in most other statistical situations, that means the aggregate of papers, because you can't at any particular time tell which ones will last.) Replication is the best way to test scientific findings, but replicating someone else's work doesn't mean prizes or even necessarily publication. Here are a few common-sense corollaries that Arbesman provides to keep in mind when you read or hear about new studies:
There's a lot more going on in this entertaining and interesting book. If you think, as I did, that the title is a metaphor, well, nope. Growth in human knowledge is exponential, though different fields have different rates of increase. New discoveries prove old ones wrong, and what we know changes. There are a couple of concomitants to this information. First, it's getting harder to make discoveries (though contiguity with one's collaborators makes everyone's work better.) Second, over time, most scientific papers will be superseded or shown to be wrong. The turnover is true for central tenets as well as for details.
You may have heard of Moore's Law, the one that says that the capacity of a computer chip doubles every 12-18 months. In a chapter titled "Moore's Law of Everything" Arbesman generalizes that tenet to growth in many areas. The interplay between science (what we know) and technology (what we can do) depends on the growth of knowledge. But it also depends on the growth of the human population: more population means more knowledge. Of course, he adds, the people need to be interested in and able to become scientists and engineers, and we need to be able to communicate what we have learned. Sometimes knowledge in one field stays hidden from experts in another, but we are beginning to understand the mechanisms that allow the systematic exploitation of one area's learning in another. We often study what interests us, what we like, or what’s easier to discover. And cognitive biases can interfere with our ability to understand what is right under our noses.
This is not a book of philosophy or statistics but a very good effort at making some useful work accessible. Do you agree? Let me know what you think in the comments.
In his clear and well-written book Arbesman tells us how to approach the problem. He demonstrates how knowledge changes in regular ways, ways that are systematic enough for us to understand. He argues that understanding the changes helps us make sense of the world and allows us to prepare for the changes we can anticipate. (I think these are what have been called in another context the known unknowns.) From my blog's perspective, it's a well-written, useful book about the importance of thinking critically.
Arbesman uses the work of John Ioannidis to remind us that one study is never enough, and that we are prone to jumping to conclusions. Just because something has been published doesn't mean that it is true, or will hold up over time. In fact, chances are, it won't. (As in most other statistical situations, that means the aggregate of papers, because you can't at any particular time tell which ones will last.) Replication is the best way to test scientific findings, but replicating someone else's work doesn't mean prizes or even necessarily publication. Here are a few common-sense corollaries that Arbesman provides to keep in mind when you read or hear about new studies:
- The smaller the studies conducted in a scientific field, the less likely the research findings are to be true.
- The smaller the effect sizes in a scientific field, the less likely the research findings are to be true.
- The greater the number and the lesser the selection of tested relationships in a scientific field, the less likely the research findings are to be true.
- The greater the flexibility in designs, definitions, outcomes, and analytical modes in a scientific field, the less likely the research findings are to be true.
- The greater the financial and other interests and prejudices in a scientific field, the less likely the research findings are to be true.
- The hotter a scientific field (with more scientific teams involved) the less likely the research findings are to be true.
There's a lot more going on in this entertaining and interesting book. If you think, as I did, that the title is a metaphor, well, nope. Growth in human knowledge is exponential, though different fields have different rates of increase. New discoveries prove old ones wrong, and what we know changes. There are a couple of concomitants to this information. First, it's getting harder to make discoveries (though contiguity with one's collaborators makes everyone's work better.) Second, over time, most scientific papers will be superseded or shown to be wrong. The turnover is true for central tenets as well as for details.
You may have heard of Moore's Law, the one that says that the capacity of a computer chip doubles every 12-18 months. In a chapter titled "Moore's Law of Everything" Arbesman generalizes that tenet to growth in many areas. The interplay between science (what we know) and technology (what we can do) depends on the growth of knowledge. But it also depends on the growth of the human population: more population means more knowledge. Of course, he adds, the people need to be interested in and able to become scientists and engineers, and we need to be able to communicate what we have learned. Sometimes knowledge in one field stays hidden from experts in another, but we are beginning to understand the mechanisms that allow the systematic exploitation of one area's learning in another. We often study what interests us, what we like, or what’s easier to discover. And cognitive biases can interfere with our ability to understand what is right under our noses.
This is not a book of philosophy or statistics but a very good effort at making some useful work accessible. Do you agree? Let me know what you think in the comments.
Subscribe to:
Posts (Atom)
Popular Posts
-
Here's a link to a series of charts The Atlantic.com has put together titled "10 Ways to Visualize How Americans Spend Money on He...
-
It's still in beta, and not all the data are loaded yet, but even so the website Mapping Gothic France , put together by art historians ...
-
Like many other people, I am constantly on the lookout for useful organizing tools. Here are a couple to ponder, and play with, over the T...
-
I've mentioned Edward Tufte, the statistician and political scientist before. Now I've read Tufte's 2003 essay "The Cog...
-
"Rethinking a Lot: The Culture and Design of Parking," Eran Ben-Joseph's unexpectedly lyrical ode to the humble parking lot, d...
